How many solutions does the equation have?

2x + 4 = 2(x + 2)

A. two solutions B. one solution C. infinitely many solutions D. no solutions

Answer :

ponton

Answer:

C. Infinitely many solutions

Step-by-step explanation:

2x + 4 = 2(x+2)

=> 2x + 4 = 2x + 4

=> 0x = 0

So there are infinitely many solutions.

This question is based on the system of equation. Hence, the given equation 2x + 4 = 2(x + 2) ha infinitely solution. Therefore, the correct option is (C).

Given:

Equation = 2x + 4 = 2(x + 2)

We need to determined the value of x and find the number of solution.

It is given that,

2x + 4 = 2(x + 2) = 0

Now, solve it further,

2x + 4 = 2x + 4

Now taking similar equation same side.

We get,

2x - 2x  = 4- 4

Therefore, 0x = 0

Hence, the given equation 2x + 4 = 2(x + 2) ha infinitely solution. Therefore, the correct option is (C).

For more details, please prefer this link;

https://brainly.com/question/24065247

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